Answer:
If Florence Griffith Joyner and Usain Bolt were running at their world-record speed in the same race, Florence Griffith Joyner would finish 8.67 m behind Usain Bolt.
Step-by-step explanation:
Step 1: Determine the speed of each athlete in m/s
Speed = distance / time
Distance = 100 m
Usain Bolt's speed: 100m / 9.58 s = 10.438 m/s
Florence Griffith Joyner's speed: 100 m/ 10.49 s = 9.533 m/s
Step 2: Determine the distance covered by Florence Griffith Joyner in 9.58 s
Distance = Speed × time
Distance covered by Florence Griffith Joyner = 100 m/ 10.49 s × 9.58 s = 91.32 m
Step 3: Determine the difference in the distance covered by Usain Bolt and Florence Griffith Joyner after 9.58 s
After 9.58 s, Usain Bolt have covered a distance of 100 m
After 9.58 s, Florence Griffith Joyner have covered a distance of 91.33 m
Difference between the distances = (100 - 91.33) m = 8.67 m
Therefore, if Florence Griffith Joyner and Usain Bolt were running at their world-record speed in the same race, Florence Griffith Joyner would finish 8.67 m behind Usain Bolt
please answer! yes I'll mark as brainliest
7/4
Step-by-step explanation:
The line would go up 7 points (from -3 to 4) and across 4 points (from -3 to 1)
Select the correct answer.
Consider the function f(t) = 2* and function g.
g(t) = (1) + 6
How will the graph of function g differ from the graph of function f?
ΟΑ.
The graph of function g is the graph of function fshifted 6 units to the left.
B.
The graph of function g is the graph of function fshifted 6 units up.
Ос.
The graph of function g is the graph of function fshifted 6 units to the right.
OD.
The graph of function g is the graph of function fshifted 6 units down.
Answer:
The graph of function g is the graph of function f shifted 6 units up.
Step-by-step explanation:
Given
[tex]f(x) = 2^x[/tex]
[tex]g(x) =2^x + 6[/tex]
Required
Compare g(x) to f(x)
Substitute [tex]f(x) = 2^x[/tex] in [tex]g(x) =2^x + 6[/tex]
[tex]g(x) = f(x) + 6[/tex]
This implies that f(x) is shifted 6 units upward to give g(x)
evaluate the following trigonometric expression
Answer:
-60
hope it helps
How many inches is the circumference of this circle?
Type in your answer WITH NO LABEL, JUST THE NUMBER.
Answer:
Diameter(line going across the circle that you've given) = 6 in
Radius(half of diameter) = 3 in
Circumference(the perimeter of the circle) = 18.85 in
Area = 28.27^2
Step-by-step explanation:
In order to find the circumference, you will need to first find the radius(which is always half the size of the diameter which in this case is 3 in). You will then need to do this formula: 2 x 3.14 x 3 which equals to 18.85.
Answer:
The circumference of a circle is about 18.85 inches.
Step-by-step explanation:
The radius is always half of the diameter, and the diameter is 6 inches.
6 divided by 2 is 3, so the radius of this circle is 3 inches.
The formula for circumference of a circle is :
C = 2πr = 2 · π · 3 ≈ 18.84956
The circumference of a circle is about 18.85 inches.
can someone please help me with this question
Answer:
3/5 * 5/6
= 15/30
Step-by-step explanation:
So the answer is the third one in line
Answer:
15/30 (simplified).
Step-by-step explanation:
[tex]3/5*5/6[/tex]
To multiply the find the value of this problem, multiply the numerators and denominators.
Remember, numerators are the numbers above the fraction bar.
Denominators are the numbers below the fraction bar.
Numerators: 3, 5
Denominators: 5, 6
[tex]3*5=15[/tex]
[tex]5*6=30[/tex]
After finding the products, add the fraction bar.
[tex]15/30.[/tex]
In most cases, you will be asked to simplify. It does not seem like simplifying is required in this question.
But, I'll simplify anyway.
15/30 = 1/2 (simplified).
The volume of a spherical balloon is increasing at a constant rate of 3 in3/s. At what rate is the radius of the balloon increasing at the instant its radius is 2 inches?
Answer:
0.0597in/s
Step-by-step explanation:
The volume of the spherical balloon V= 4/3πr³
r is the radius of the balloon
The rate at which the volume is changing dV/dt is expressed as;\
dV/dt = dV/dr*dr/dt
dV/dr = 3(4/3πr²)
dV/dr = 4πr²
dV/dr = 4π(2)²
dV/dr = 16π
dV/dt = 3 in³/s
Substitute inti the formula
3 = 16πdr/dt
dr/dt = 3/16π
dr/dt = 3/50.24
dr/dt = 0.0597in/s
Hence the balloon is increasing at the rate of 0.0597in/s
17. The function rule C = 40n + 210 relates the number of months n to cost in dollars C of a phone plan and budget phone. Make a table of the input output pairs to show the cost of the phone and phone plan after 2. 12. and 24 months.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
To compute a value for the table put the given "input" into the formula and do the arithmetic. Repetitive arithmetic is often easily handled by a graphing calculator or spreadsheet.
Example:
for n=2, C = 40·2 +210 = 80 +210 = 290
A person travels 620 mi in 10 hours. What is the rate in miles per hour?
Answer:
62 miles per hour
Step-by-step explanation:
620mile/10hrs
62miles/hr
62 miles per hour
Larissa dives into a pool that is 8 feet deep. She touches the bottom of the pool with her hands 6 feet horizontally from the point at which she entered the water.
What is the approximate angle of elevation from the point on the bottom of the pool where she touched to her entry point?
36.9°
41.4°
48.6°
53.1°
Answer:
It would be 53.1
Step-by-step explanation:
Vote branlyist Please...
The approximate angle of elevation from the point on the bottom of the pool where she touched to her entry point is; D: 53.1°
What is angle of elevation?We are told that she dived into the pool that was 8 ft deep.
She touches the bottom with her hands 6 ft horizontally.
Thus, a triangle is formed here with 8 being the opposite side of the angle of elevation and 6 being the adjacent side of the triangle.
Using trigonometric ratios, we can say that;
θ = tan⁻¹(8/6)
θ = 53.1°
Read more about angle of elevation at; https://brainly.com/question/19594654
find two consecutive whole numbers that square root of 84 lies between
Answer:
9 and 10
Step-by-step explanation:
the closest squares to 84 are 81 and 100 which those square roots are 9 and 10 respectively so the square root of 84 is between the consecutive whole numbers nine and ten
ps in a calculator the sqrt of 84 is 9.16515139...
Hope this helps! :)
Plzzz someone help i just need the formula
Answer:
[tex]S(y)=36000*(1+0.03)^{y}[/tex]
Step-by-step explanation:
Answer:
y=36,000×1.03^x
Step-by-step explanation:
A force of 50 pounds acts on an object at an angle of 45 degrees. A second force of 75 pounds acts on the object at an angle of -30 degrees. Find the direction and magnitude of the resultant force.
Answer:
The magnitude of the resultant force is:
[tex]R=100.3 \:pound[/tex]
The direction is:
[tex]\theta=1.2^{\circ}[/tex]
Step-by-step explanation:
Let's find the components of each vector is x and y-directions first.
Sum of x-component vector forces.
[tex]F_{tot-x}=F_{1}cos(45)+F_{2}cos(30)[/tex]
[tex]F_{tot-x}=50cos(45)+75cos(30)[/tex]
[tex]F_{tot-x}=100.3 \: pound[/tex]
Sum of y-component vector forces.
[tex]F_{tot-y}=-F_{1}sin(45)+F_{2}sin(30)[/tex]
[tex]F_{tot-y}=-50sin(45)+75sin(30)[/tex]
[tex]F_{tot-y}=2.1 \: pound[/tex]
The magnitude of the resultant force is:
[tex]R=\sqrt{100.3^{2}+2.1^{2}}[/tex]
[tex]R=100.3 \:pound[/tex]
The direction is:
[tex]tan(\theta)=\frac{2.1}{100.3}[/tex]
[tex]\theta=arctan(\frac{2.1}{100.3})[/tex]
[tex]\theta=1.2^{\circ}[/tex]
I hope it helps you!
Del siguiente conjunto de datos calcula lo que se te pide: 3,6,8,4,3,2,6,7,1,5,4,8,4
¿cual es la media? del problema
cual es la moda?
Answer:
Moda = 4
Media = 4
Step-by-step explanation:
primero tienes que ordenarlos
1,2,3,3,4,4,4,5,6,6,7,8,8
La moda es el elemento que más se repite entonces es el 4
La media es el elemento que esta al medio, en este caso son 13 números
13/2 = 6.5, el elemento que esta en la séptima posición 7 es la media
media= 4
HELP ME PLEASEEEEEEEEEEEEEEEE
Answer:
15.7
Step-by-step explanation:
Because the width has to be bigger than the length since its a rectangle and 15.7 matches the equation of 43.8 and 12.4
Answer:
P = 2(l + w)
43.8 = 2(12.4 + x )
43.8 = 24.8 + 2x
43.8 - 24.8 = 2x
19 = 2x
Divide both side by two;
x = 9.5 ft
At a new school there are 2 teachers of every 15 students. If the school has 42 teachers, how Many students are there in the school?
Answer:
proportion
Step-by-step explanation:
2----> 15
42--->x
x=(42*15)/2
x= 21 *15.
x= 315
therefore there are 315 students in the school
If a die is rolled one time find these probabilities
-getting a number greater than 2 and an even number
-getting a number less than 1
Answer:
1. 1/3
2. 0
Step-by-step explanation:
what is the answer please help
A square park has an area of 1/16 square miles and a length of 1/4 mile. What is
the width of the park?
9514 1404 393
Answer:
1/4 mile
Step-by-step explanation:
The length and width of a square are the same.
The length is 1/4 mile, so the width of the park is 1/4 mile.
A square park has an area of 1/16 square miles and a length of 1/4 mile. What is the width of the park?
The formula for width is:[tex]\quad \quad \quad \boxed{ \tt{width = \frac{area}{length}}}[/tex]
Lets try![tex]\quad \quad \quad{\tt{w = \frac{1}{16} \div \frac{1}{4} = \boxed{\tt{0.25}}}}[/tex]
Lets convert it to fraction:[tex]\quad \quad \quad \boxed{ \tt{w = 0.25}} \: ➡ \boxed{ \tt{w = \frac{1}{4}}}[/tex]
So the value of width is:[tex]\boxed{ \tt{w = \frac{1}{4}}}[/tex]
_________
#LetsStudy
Please help me with these questions
Answer:
okay the first questions answer is ,c,is true and rest of them are false
Four internet providers offer similar services to almost everyone in the city. Any new company would have to engage in a price war with the existing companies
What are the coordinates of the point plotted on this graph?
Becoming a member at fitness club costs $50 plus a monthly fee of $25. Using the graph, estimate how many months a person has been a member if he has paid a total of $250.
Answer:
0.3
Step-by-step explanation:
Solve the following equation for x:
12x+2=26
Answer:
[tex] \large{ \tt{❃ \: STEP-BY-STEP \: EXPLANATION}} : [/tex]
[tex] \large{ \tt{❁ \: ORIGINAL \: PROBLEM : 12x + 2 = 26}}[/tex]
We want to remove the 2 first. Since the original equation is + 2 , we're gonna use the opposite operation and subtract 2 form both sides.[tex] \large{ \tt{↦ \: 12x + 2 - 2 = 26 - 2}}[/tex]
Simplify! 2 - 2 = 0 on the left and 26 - 2 = 24 on the right.[tex] \large{ \tt{↦ \:12x = 24}}[/tex]
Then we need to think about how to remove the coefficient 12 . Since the opposite of multiplication is division , we're going to divide both sides by 12.[tex] \large{ \tt{ ↦ \: \frac{12x}{12} = \frac{24}{12}}} [/tex]
Simplify. 12/ 12 = 1 on the left and 24 / 12 = 2 on the right. So our answer is x = 2 .[tex] \boxed{ \boxed{ \large{ \tt{↦x = 2}}}} \large✓[/tex]
✺ Don't stress yourself for the day you've done nothing instead focus on the remaining change you have left and work on it. ♪
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Identify the location of the point (-3, -2).
Pls help I’ll brainlest
Answer:
A
Step-by-step explanation:
5 x 10^4/2.5 x 10^2
10^2 gets cancel out by 10^4
5 gets divided by 2.5 which equals 2
Leaving us with 2 x 10^2
Answer:
A
Step-by-step explanation:
2 x 10^2
A kitchen floor can somebody plzzzz helpppp
Answer: 876
Step-by-step explanation:so all you need to do is go into
Determine the intercept of the line
Y-intercept: (___,___)
X-intercept: (___,___)
Answer:
y-inter:(0,-44)
x inter:(-10,0)
A local university accepted 2,300 students out of 4,500 applicants for admission. What was the acceptance rate, expressed as a percent? (Show Work Please)
Answer:
2300/4500 = 23/45 = 0.511
As a percent,
0.511*100% = 51.1%
Step-by-step explanation:
since 100% = 1, this is multiplying by 1
Answer:
51.1%
Step-by-step explanation:
To find the answer you first need to find 1%=45
then you need to do 2300 divided by 45=51.1% or you can keep putting 111
Hope this is useful
A grocery store manager notices that this month her store sold a total of 521 gallons of ice cream, which represents a decrease of 10% from last month. On the other hand, her store sold 791 pounds of broccoli this month, which represents an increase of 25% from last month. How much ice cream and broccoli did the store sell last month? Round your answers to the nearest integer.
Answer:
Last month the grocery store sold 578.88 gallons of ice cream and 632.8 pounds of broccoli.
Step-by-step explanation:
Since a grocery store manager notices that this month her store sold a total of 521 gallons of ice cream, which represents a decrease of 10% from last month, and on the other hand, her store sold 791 pounds of broccoli this month, which It represents an increase of 25% from last month, to determine how much ice cream and broccoli did the store sell last month, the following calculation must be performed:
Ice cream = 100 - 10 = 90
90 = 521
100 = X
100 x 521/90 = X
52,100 / 90 = X
578.88 = X
Broccoli = 100 + 25 = 125
125 = 791
100 = X
100 x 791/125 = X
79,100 / 125 = X
632.8 = X
Therefore, last month the grocery store sold 578.88 gallons of ice cream and 632.8 pounds of broccoli.
A coin-operated machine sells plastic rings. It contains 11 orange rings, 15 green rings, 0 pink rings, and 5 yellow rings. Patricia puts a coin into the machine. Find the theoretical probability she gets a yellow ring. Express your answer as a decimal. If necessary, round your answer to the nearest thousandth
Answer:
16.129
Step-by-step explanation:
11+15+5=31
5÷31=0.16129
0.16129x100
=16.129